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Related Concept Videos

Introduction to force01:25

Introduction to force

Consider water flowing from a nozzle to a turbine vane. As the water hits the turbine vane, it exerts a force that causes it to move along the flow of direction. Force is an impact that changes an object's motion, shape, or orientation. Forces can be caused by physical contact, such as a push or pull, or through non-contact interactions, such as magnetic or gravitational forces. Force is a vector quantity with both magnitude and direction, and is measured in newtons (N) in the SI unit system.
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Related Experiment Video

Updated: Jun 23, 2026

Micro-scale Engineering for Cell Biology
04:42

Micro-scale Engineering for Cell Biology

Published on: October 1, 2007

Introduction.

H Reiss

    Optics Express
    |April 21, 2009
    PubMed
    Summary
    This summary is machine-generated.

    Relativistic effects in atomic physics are typically small corrections, especially for valence electrons. These effects are usually much smaller than standard atomic transition energies.

    Related Experiment Videos

    Last Updated: Jun 23, 2026

    Micro-scale Engineering for Cell Biology
    04:42

    Micro-scale Engineering for Cell Biology

    Published on: October 1, 2007

    Area of Science:

    • Atomic Physics
    • Quantum Mechanics
    • Relativistic Quantum Chemistry

    Background:

    • Atomic physics primarily studies valence electrons.
    • Energies in this domain are on the order of (fine structure constant)^2 times electron rest energy.
    • Relativistic effects are usually considered minor corrections.

    Purpose of the Study:

    • To analyze the magnitude of relativistic effects in valence-electron atomic physics.
    • To contextualize relativistic corrections within atomic transition energies.

    Main Methods:

    • Analysis of energy scales in atomic physics.
    • Comparison of relativistic correction magnitudes with atomic transition energies.

    Main Results:

    • Relativistic effects are proportional to the square of the fine structure constant.
    • Fine and hyperfine splitting are significantly smaller than typical atomic transition energies.
    • Relativistic effects are treated as small perturbations.

    Conclusions:

    • Relativistic effects are generally negligible in valence-electron atomic physics.
    • Standard atomic physics calculations often do not require complex relativistic treatments for valence electrons.